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Finding the Fourth Proportional to 16,771.05, 23,142.92 and 9,217.22

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Solution

The fourth proportional to 16,771.05, 23,142.92 and 9,217.22 is: 12,719.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,771.05 : 23,142.92 = 9,217.22 : x
  2. Step 2: Convert to fraction form
    16,771.05/23,142.92 = 9,217.22/x
  3. Step 3: Cross multiply
    16,771.05x = 23,142.92 × 9,217.22
  4. Step 4: Simplify right side
    16,771.05x = 213,313,385.08
  5. Step 5: Solve for x
    x = 213,313,385.08/16,771.05
  6. Step 6: Final answer
    x = 12,719.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.